In this talk we discuss intersections of varieties over the closure of Fp and small multiplicative groups, in the spirit of certain conjectures put forward by Poonen in xed characteristic. Our approach is based on transference to number elds using a quantitative Nullstellensatz and estimates on additive relations in multiplicative groups of low rank. We also establish stronger results `on average' for most p which may be seen as a renement of the well-known Erdos-Murty theorem related to the Artin conjecture. 1

v1272

If none of the options work for you, you can always buy the DVD of this lecture. The videos are sold at cost for $20USD (shipping included).
Please Click Here to send an email to MSRI to purchase the DVD.